Given numbers are 382,762,630,912,966

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 382,762,630,912,966 is 53425557360.

Find LCM of 382,762,630,912,966 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 7 x 191 x 127 x 15 x 152 x 23 = 53425557360

Therefore, the lowest common multiple of 382,762,630,912,966 is 53425557360.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

382 x 762 x 630 x 912 x 966 = 161558885456640

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

382 : 1, 2, 191, 382

762 : 1, 2, 3, 6, 127, 254, 381, 762

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,762,630,912,966, is 2.

Now, the common factors can be found like this.

382:2x 191

762:2x 3x 127

630:2x 3x 3x 5x 7

912:2x 2x 2x 2x 3x 19

966:2x 3x 7x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 3x 3x 7 = 1512

Therefore, the value for common factors is 1512.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 161558885456640/(2x1512)

LCM = 161558885456640/3024

LCM = 53425557360

Thus, we can understand that the LCM of 382,762,630,912,966 is 53425557360.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 525, 503, 900, 958, 912
• LCM of 226, 705, 786, 246, 995
• LCM of 638, 250, 547, 432, 870
• LCM of 709, 309, 825, 567, 243
• LCM of 996, 659, 156, 789, 476

1. What is the LCM of 382, 762, 630, 912, 966?

Answer: LCM of 382, 762, 630, 912, 966 is 53425557360.

2. How to calculate the LCM of 382, 762, 630, 912, 966?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 382, 762, 630, 912, 966.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.